Inflation on Fractional Branes: D--Brane Inflation as D--Term Inflation

Abstract

We describe a D--brane inflation model which consists of two fractional D3 branes separated on a transverse $T^2\times K3$. Inflation arises due to the resolved orbifold singularity of $K3$ which corresponds to an anomalous D--term on the brane. We show that D--brane inflation in the bulk corresponds to D--term inflation on the brane. The inflaton and the trigger field parametrize the interbrane distances on $T^2$ an $K3$ respectively. After inflation the branes reach a supersymmetric configuration in which they are at the origin of $T^2$ but separated along the $K3$ directions.

15 pages in phyzzx.tex; minor corrections including all factors of 2π; v3: more minor corrections

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